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Finding the Third Proportional to 140,850 and 193,131

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Solution

The third proportional to 140,850 and 193,131 is: 264,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,850 : 193,131 = 193,131 : x
  2. Step 2: Convert to fraction form
    140,850/193,131 = 193,131/x
  3. Step 3: Cross multiply
    140,850x = 193,131 × 193,131
  4. Step 4: Simplify right side
    140,850x = 37,299,583,161
  5. Step 5: Solve for x
    x = 37,299,583,161/140,850
  6. Step 6: Final answer
    x = 264,817.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.